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in the figure below, the measure of ∠1 = 5x°, the measure of ∠2 = y°, a…

Question

in the figure below, the measure of ∠1 = 5x°, the measure of ∠2 = y°, and the measure of ∠3 = 80°. find the value of each variable.
x = (type a whole number).

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. $\angle1$ and $\angle3$ are vertical angles. So, $5x = 80$.

Step2: Solve for x

Divide both sides of the equation $5x = 80$ by 5. We get $x=\frac{80}{5}=16$.

Answer:

16